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Pythagoras in the game... 3D Combat
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<blockquote data-quote="RandomPrecision" data-source="post: 2101882" data-attributes="member: 29267"><p>For the visual, having two planes to put minis on will work (as previously suggested by others), probably one for the x-y plane and one for the x-z plane. For actually computing distance for the range of flying creatures and other uses, you might consider making a table of possible lengths and heights (if you have a grid with 10x10 foot squares, you'll probably just want to make your tables axes in increments of 10), where following the row for x to the column for y gives sqrt(x^2+y^2).</p><p></p><p>Edit: And remember your Pythagorean Triples. 3^2+4^2=5^2, and multiples of the 3-4-5 triangle exist proportionally (6-8-10 is a Triple too). 5-12-13 is another and 7-24-25 or 9-40-41.</p><p></p><p>I actually found a formula for those back in high school geometry - ([X^2-1]/2), where X is any number gives Y, and Y+1 gives Z, the hypoteneuse, and AX, AY, AZ are dimensions for a right triangle, where A is any constant. Maybe this could be useful in some way, I don't know.</p></blockquote><p></p>
[QUOTE="RandomPrecision, post: 2101882, member: 29267"] For the visual, having two planes to put minis on will work (as previously suggested by others), probably one for the x-y plane and one for the x-z plane. For actually computing distance for the range of flying creatures and other uses, you might consider making a table of possible lengths and heights (if you have a grid with 10x10 foot squares, you'll probably just want to make your tables axes in increments of 10), where following the row for x to the column for y gives sqrt(x^2+y^2). Edit: And remember your Pythagorean Triples. 3^2+4^2=5^2, and multiples of the 3-4-5 triangle exist proportionally (6-8-10 is a Triple too). 5-12-13 is another and 7-24-25 or 9-40-41. I actually found a formula for those back in high school geometry - ([X^2-1]/2), where X is any number gives Y, and Y+1 gives Z, the hypoteneuse, and AX, AY, AZ are dimensions for a right triangle, where A is any constant. Maybe this could be useful in some way, I don't know. [/QUOTE]
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